Question

In an equilateral triangle of side 24cm,find the length of the altitude

Answer 1

☆Hello friend☆

Area of triangle= Hero' s formula
$\sqrt{s(s - a)(s - b)(s - c)} \\ s = \frac{a + b + c}{2}$

s= (24+24+24)/2= 36cm
$\sqrt{36(36 - 24)(36 - 24)(36 - 24)} \\ \sqrt{36 \times 12 \times 12 \times 12} \\ \sqrt{2 \times 2 \times 3 \times 3 \times 2 \times 2 \times 3 \times 2 \times 2 \times 3 \times 2 \times 2 \times 3}$
= 2×2×2×2×3×3×1.7= 244.8cm^2

Area of triangle=1/2 ×base×height
244.8cm^2= 1/2 ×24× height
244.8×2/24=height
20.4=height

Hope it helps

☺☺☺